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Liquid ropes: a geometrical model for thin viscous jet instabilities.

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cam.issuedOnline2015-04-30
dc.contributor.authorBrun, P-T
dc.contributor.authorAudoly, Basile
dc.contributor.authorRibe, Neil M
dc.contributor.authorEaves, TS
dc.contributor.authorLister, John R
dc.date.accessioned2015-05-29T10:18:20Z
dc.date.available2015-05-29T10:18:20Z
dc.date.issued2015-05-01
dc.description.abstractThin, viscous fluid threads falling onto a moving belt behave in a way reminiscent of a sewing machine, generating a rich variety of periodic stitchlike patterns including meanders, W patterns, alternating loops, and translated coiling. These patterns form to accommodate the difference between the belt speed and the terminal velocity at which the falling thread strikes the belt. Using direct numerical simulations, we show that inertia is not required to produce the aforementioned patterns. We introduce a quasistatic geometrical model which captures the patterns, consisting of three coupled ordinary differential equations for the radial deflection, the orientation, and the curvature of the path of the thread's contact point with the belt. The geometrical model reproduces well the observed patterns and the order in which they appear as a function of the belt speed.
dc.description.sponsorshipP.-T. B. was partially funded by the ERC Grant No. SIMCOMICS 280117.
dc.description.versionThis is the author accepted manuscript. The final version is available from APS via http://dx.doi.org/10.1103/PhysRevLett.114.174501
dc.identifier.citationBrun et al. Physical Review Letters Vol. 114 Issue 17, 174501. DOI: 10.1103/PhysRevLett.114.174501
dc.identifier.eissn1079-7114
dc.identifier.issn0031-9007
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/248080
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society (APS)
dc.publisher.urlhttp://dx.doi.org/10.1103/physrevlett.114.174501
dc.subject0915 Interdisciplinary Engineering
dc.titleLiquid ropes: a geometrical model for thin viscous jet instabilities.
dc.typeArticle
prism.number174501
prism.publicationDate2015
prism.publicationNamePhys Rev Lett
prism.volume114
rioxxterms.licenseref.startdate2015-04-30
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.typeJournal Article/Review
rioxxterms.versionofrecord10.1103/PhysRevLett.114.174501

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